What is the Least Common Multiple of 70848 and 70858?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 70848 and 70858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70848 and 70858, than apply into the LCM equation.

GCF(70848,70858) = 2
LCM(70848,70858) = ( 70848 × 70858) / 2
LCM(70848,70858) = 5020147584 / 2
LCM(70848,70858) = 2510073792

Least Common Multiple (LCM) of 70848 and 70858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70848 and 70858. First we will calculate the prime factors of 70848 and 70858.

Prime Factorization of 70848

Prime Factorization of 70858

Now multiplying the highest exponent prime factors to calculate the LCM of 70848 and 70858.

LCM(70848,70858) = 2⁶ × 3³ × 41¹ × 71¹ × 499¹
LCM(70848,70858) = 2510073792